Dear candidate under general merit category if you wish to opt for government seats into private medical institutions your chances with 492 marks remains quite less. This assumption can be made based on the past few years cut-off history where for Government seats more than 500 marks required, in the state of Karnataka. Use our NEET UG college predictor to predict the best possible colleges where you can expect the seat,

https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer

Good luck!!